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Finding the Fourth Proportional to 1,489.49, 2,054.95 and 899.81

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Solution

The fourth proportional to 1,489.49, 2,054.95 and 899.81 is: 1,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.49 : 2,054.95 = 899.81 : x
  2. Step 2: Convert to fraction form
    1,489.49/2,054.95 = 899.81/x
  3. Step 3: Cross multiply
    1,489.49x = 2,054.95 × 899.81
  4. Step 4: Simplify right side
    1,489.49x = 1,849,054.28
  5. Step 5: Solve for x
    x = 1,849,054.28/1,489.49
  6. Step 6: Final answer
    x = 1,241.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.